LCM for 40 and 315

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 40 and 315?

Answer

LCM of 40 and 315 is 2,520

(Two thousand, five hundred twenty)

Finding LCM for 40 and 315 using GCF of these numbers

The first method to find LCM for numbers 40 and 315 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 40 and 315 is 5, so

LCM = (40 × 315) ÷ 5

LCM = 12600 ÷ 5

LCM = 2520

Finding LCM for 40 and 315 by Listing Multiples

The second method to find LCM for numbers 40 and 315 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920, 960, 1000, 1040, 1080, 1120, 1160, 1200, 1240, 1280, 1320, 1360, 1400, 1440, 1480, 1520, 1560, 1600, 1640, 1680, 1720, 1760, 1800, 1840, 1880, 1920, 1960, 2000, 2040, 2080, 2120, 2160, 2200, 2240, 2280, 2320, 2360, 2400, 2440, 2480, 2520, 2560, 2600

Multiples of 315: 315, 630, 945, 1260, 1575, 1890, 2205, 2520, 2835, 3150

So the LCM for 40 and 315 is 2520

Finding LCM for 40 and 315 by Prime Factorization

Another method to find LCM for numbers 40 and 315 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 40: 2, 2, 2, 5 (exponent form: 23, 51)

All Prime Factors of 315: 3, 3, 5, 7 (exponent form: 32, 51, 71)

23 × 51 × 32 × 71 = 2520

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 40 and 315? (The answer is: 2520). Select the first number (e.g. '40') and the second number (e.g. '315'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
253151575
263158190
27315945
283151260
293159135
30315630
313159765
3231510080
333153465
3431510710
35315315
363151260
3731511655
3831511970
393154095
403152520
4131512915
42315630
4331513545
4431513860
45315315
4631514490
4731514805
483155040
493152205
503153150
513155355
5231516380
5331516695
543151890

FAQ

What's the Least Common Multiple (LCM) of 40 and 315?

LCM of 40 and 315 is 2,520

How to find the LCM of 40 and 315 using prime factorization?

To find the LCM of 40 and 315, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,520.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 40 and 315: LCM = 2,520, GCF = 5.

See Also